Controllability Analysis of Quantum Systems Immersed Within an Engineered Environment
Grigoriu, Andreea; Turinici, Gabriel; Rabitz, Herschel (2013), Controllability Analysis of Quantum Systems Immersed Within an Engineered Environment, Journal of Mathematical Chemistry, 51, 6, p. 1548-1560. http://dx.doi.org/10.1007/s10910-013-0163-6
TypeArticle accepté pour publication ou publié
External document linkhttps://hal.archives-ouvertes.fr/hal-00696546
Journal nameJournal of Mathematical Chemistry
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Abstract (EN)The problem of controllability of open quantum systems (i.e., quantum systems interacting with an environment), whose dynamics is described by a non-Markowian master equation is addressed. The manipulations of the dynamics is realized with both a laser eld and a tailored nonequilibrium, and generally time-dependent, state of the surrounding environment. Lie algebra theory is used to characterize the structures of the reachable states sets and to prove controllability. The theoretical results are supported by examples.
Subjects / KeywordsLie group controllability; open system controllability; quantum control; controllability of the Lindblad equation; controllability in a non-compact Lie group
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